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80144052 = 2231719232931
BaseRepresentation
bin1001100011011…
…10011010110100
312120210201222020
410301232122310
5131004102202
611541433140
71662133062
oct461563264
9176721866
1080144052
114126a45a
1222a0b7b0
13137b0b21
14a903032
1570815bc
hex4c6e6b4

80144052 has 192 divisors, whose sum is σ = 232243200. Its totient is φ = 21288960.

The previous prime is 80144047. The next prime is 80144087. The reversal of 80144052 is 25044108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2585277 + ... + 2585307.

It is an arithmetic number, because the mean of its divisors is an integer number (1209600).

Almost surely, 280144052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80144052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116121600).

80144052 is an abundant number, since it is smaller than the sum of its proper divisors (152099148).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

80144052 is a wasteful number, since it uses less digits than its factorization.

80144052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 80144052 is about 8952.3210398198. The cubic root of 80144052 is about 431.1454084518.

The spelling of 80144052 in words is "eighty million, one hundred forty-four thousand, fifty-two".